Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCD Calculator to determine the Greatest Common Divisor of 265, 107, 583, 665 i.e. 1 largest integer that divides all the numbers equally.
GCD of 265, 107, 583, 665 is 1
GCD(265, 107, 583, 665) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 265, 107, 583, 665 is 1
GCD(265, 107, 583, 665) = 1
Given Input numbers are 265, 107, 583, 665
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 265
List of positive integer divisors of 265 that divides 265 without a remainder.
1, 5, 53, 265
Divisors of 107
List of positive integer divisors of 107 that divides 107 without a remainder.
1, 107
Divisors of 583
List of positive integer divisors of 583 that divides 583 without a remainder.
1, 11, 53, 583
Divisors of 665
List of positive integer divisors of 665 that divides 665 without a remainder.
1, 5, 7, 19, 35, 95, 133, 665
Greatest Common Divisior
We found the divisors of 265, 107, 583, 665 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 265, 107, 583, 665 is 1.
Therefore, GCD of numbers 265, 107, 583, 665 is 1
Given Input Data is 265, 107, 583, 665
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 265 is 5 x 53
Prime Factorization of 107 is 107
Prime Factorization of 583 is 11 x 53
Prime Factorization of 665 is 5 x 7 x 19
The above numbers do not have any common prime factor. So GCD is 1
Step1:
Let's calculate the GCD of first two numbers
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(265, 107) = 28355
GCD(265, 107) = ( 265 x 107 ) / 28355
GCD(265, 107) = 28355 / 28355
GCD(265, 107) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 583
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 583) = 583
GCD(1, 583) = ( 1 x 583 ) / 583
GCD(1, 583) = 583 / 583
GCD(1, 583) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 665
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 665) = 665
GCD(1, 665) = ( 1 x 665 ) / 665
GCD(1, 665) = 665 / 665
GCD(1, 665) = 1
GCD of 265, 107, 583, 665 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 265, 107, 583, 665?
GCD of 265, 107, 583, 665 is 1
2. Where do I get the detailed procedure to find GCD of 265, 107, 583, 665?
You can find a detailed procedure to find GCD of 265, 107, 583, 665 on our page.
3. How to find GCD of 265, 107, 583, 665 on a calculator?
You can find the GCD of 265, 107, 583, 665 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.